Let A = (1, 0, 2) and B = (6, -2, 3). Find projaB.

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Q: Let f(x) = Vx +1. Calculate the difference quotient f(15 + h) - f(15). for h h = .1 h = .01 h 3= .01…

A: Given: f(x)=x+1 We have to find f(15+h)-f(15)h for h=0.1, 0.01, -0.01, -0.1 For h=0.1:…

Q: Using Integration By Parts, x Arcsec 3x dx = u v- |v du

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Q: 1 A function f is given by f(x) = This function tak (x+ 4)2 f(x + h)-f(x) Find f(2), f(0), f(a), f(x…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

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Q: /9– x² using Trigonometric Substitution what is dx ? onsider x2 3 sec e de P 3 cos e de O 3 sec e…

A: Topic:- application of integration

Q: 0.2 0.4 0.6 0.6 1 f(x) 32 24 12 8. 10

A: Here we have to compute L5 using the given values.

Q: Ssin(x)cos(2x)sin(3x) dx O sin(6x) sin(2x) , sin(2x)cos(4x) 24 8 8 + 4 sin(3x)cos(3x), sin(2x) +…

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Q: 2x3- x² + x + 2 D dx X +1 C Consider find A+B+C+D x4 + x3 y3 4 O 2 O 5

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Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. x + y 12xy -…

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Q: Evaluate the definite integral. '5 3 9 Vx2 dx

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Q: 2x+ 11 3 3 1 dx - X +3 Consider Idx - evaluate dx = x2 + x- 6 X- 2 X-2 x+3 x+3 In +C (x- 2)3 X-2 In…

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Q: Using Integration By Parts, 2x² e3" dx = u v - |2x2 e3" dx = u v-, -Svau Find u v- Sv du · x3 e 3 dx…

A: Integral

Q: Find the derivative of the function. f(x)= 10Vx- 6e*

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Q: dy Do not simplify your answers. dx 3. Solve for sec(3r? + In 2) evz+2 +9 (5x-1 – 3")* e3z Vcot() C.…

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Q: Cos dx 32 osSsin) +2+c (주)-5cos주)+ 기+ C 35 32 -cos 35 32 cos 7 (2)- 32 cos(수)+C +C 4 Cos COS

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Q: Find the absolute extrema of the function on the closed interval. h(s) = [0, 2] %3D s- 3 minimum (s,…

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Q: 5x dx? x3 + x2 +4x+4 How many quadratic and distinct factors are in the denominator of

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Q: Sketch and determine the opening, vertex and focus of the parabola with an equation of y? - 8x + 16…

A: Follow the procedure given below.

Q: Suppose a sample of a certain substance decayed to 77.2% of its original amount after 300 days.…

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Q: Find any critical numbers of the function. (Enter your answers as a comma-separated list.) g(x) = x6…

A: For critical numbers, Put g'(x) = 0 and solve for x.

Q: A    26    foot    ladder    is    sliding    down    a    vertical    wall.        The    base…

A: This question can be solved using the concept of rate of change of physical quantities.

Q: Consider the following parametric equations. a = t + 5t y = -3t2 + 1 - 2 <t<2 a) Find four unique…

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Q: | cot2 x dx 1 ot x + C cot x - х + с cot x + x + с О -cot x —x+C

A: Given query is to find the the integral.

Q: A survey shows that a candidate is gaining votes at a rate of 2000t + 1000 votes per day, where t is…

A: Given problem:- A survey shows that a candidate is gaining votes at a rate of 2000t + 1000 votes per…

Q: Find the equations of the tangents to the curve x = 9t2 + 9, y = 6t3 + 6 that pass through the point…

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Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

A: If f'(x)&gt;0 for every x on some interval I , then f(x) is increasing function . If f'(x)&lt;0 for…

Q: sec(3r2 + In 2) evz+2 +9 a. y =

A: Use simple differentiation formula.

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

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Q: Question 1 Consider / sin*x cosºx dx. f we let 4 = sin x, the integrand can be transformed to, (B ®…

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Q: After watching the Section 9.10 vidco, solve the following problen. Make sure that you show all…

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Q: 3s+10 W(s) = s(s-8)(s-6)²

A: To solve the following problem

Q: D 2x³ – x² + x +2 = (: find dx - A+B+C+D- Consider - + + + x+1 x4 + x3 O 2 O 4 O 3 O 5

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Q: 1. Evaluate the following limits. 4x – 7 3x2 – 2r – 5 1 c. lim I-1- |I + ¤|

A: We put the limit .

Q: /x²+4x – 5 dx Using trigonometric substitution, ƒ (8) dô. x+2 Find the new limits of integration.…

A: Given:        ∫14x2+4x-5x+2dx=∫abfθ dθ         =∫14x+22-9x+2 dx      Apply u-substitution.…

Q: 1. Suppose the odometer on our car is broken and we want to estimate the distance driven over a 30…

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Q: tan (x) J Cos cos“(x) 하an7(x) + 늑tan®(w) +C O tan'(x)7tan?(x) +9]+ C tan7(x) 36 O sin…

A: Here we have to integrate the given function.

Q: Consider the following vector field. F(x, y, z) = (2e* sin(y), 7e sin(z), 4e² sin(x) (a) Find the…

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Q: dx , find f(0) · Using Trigonometric Substitution 3 (x²+ x + 1) 2

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Q: Find the area of the part of the sphere x2 + y2 + z2 = 100z that lies inside the paraboloid z = x2 +…

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Q: dæ 2 (x² + 1)²

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Q: x² –9 2. dx. Use trigonometric Substitution. .3

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Q: 4) y =iy ¡y' -x1

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Q: sin2 dx. Use trigonometric groups. cos

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Q: What are the polar coordinates of the point A shown below?

A: Given query is to find the coordinates of point A

Q: | x(5*)dx x(5*) In 5 + C (In 5)? x(5") In 5 5* + C (In 5)² O A x(5*) In 5 + C In 25 x(5*) In 5 + C…

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Q: ind the area and the circumference of a circle with diameter 6 m. Ise the value 3.14 for a, and do…

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Q: The graph of f is shown. Apply Rolle's Theorem and find all values of c such that f(c) = 0 at some…

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Q: 12x²-x² * x+2 dx= D dx • x +1 Consider dx = ,find A+B+ C+D· x4+ x3

A: Consider ∫2x3-x2+x+2x4+x3 dx=∫Ax+Bx2+Cx3+Dx+1 dx, then to find A+B+C+D.